Given:
Length of the building = 120 feet
Width of the building = 40 feet
Length of the model = 6 feet
To find:
Width of the model.
Solution:
The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.
Let x be the width of the building.
[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]
[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]
[tex]20=\dfrac{40}{x}[/tex]
[tex]x=\dfrac{40}{20}[/tex]
[tex]x=2[/tex]
Therefore, the width of the model is 2 feet.
What is the slope formula?
How do you find slope?
Answer:
https://www.gstatic.com/education/formulas2/355397047/en/slope_of_a_line.svg
Step-by-step explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Answer:
cmon bro is not that hard
Step-by-step explanation:
Please help me with this
please help me!! 8th grade math, Pythagorean Theorem
Answer:
Step-by-step explanation:
-To find the incline do:6^2+14^2=x^2
Than whatever your 6 and 14 equal, find the square root of it
a cylinder with radius 6 units as shown has a volume of 72 cubic units. What is the height of the cylinder?
•2/pie units
•6/pie units
•2pie units
•6pie units
?
Uehehejjdjdjejjejejjdjdjejejejejejjejejejeejjd
Answer:
kgkbfkbfbk3grrkmfbhrfikrk
Answer:
thank you for the free point i guess
Step-by-step explanation:
can u mark me brainlest plz
gjnrijnrtibfnsibneifn
Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15
Using trigonometric identities, it is found that the value of the tangent of the angle is given by:
B. [tex]-\frac{\sqrt{15}}{7}[/tex]
What is the tangent of an angle?The tangent of an angle is given by it's sine divided by it's cosine, that is:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this problem, we have that:
[tex]\cos{\theta} = -\frac{7}{8}[/tex]
The following identity is applied:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
Then:
[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]
[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]
[tex]\sin^2{\theta} = \frac{15}{64}[/tex]
[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]
Since it is on the second quadrant, it is positive, hence:
[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]
Applying the tangent equation:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]
[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]
More can be learned about trigonometric identities at https://brainly.com/question/22591162
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
Can someone please help me with question 5?
I need REAL Help
Answer:
Step-by-step explanation:
the slope is uphill.. so we know it's positive
I can also see that that it's 1 up and 1 over so the slope is 1
the line also hits at -9 on the y axis
so
y = x - 9
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
Answer:
17/55 if simplified otherwise 34/110
Step-by-step explanation:
Answer:
16/81
Step-by-step explanation:
this is the answer that came up on hegarty
HELP HELP HELP HELP, PLEASE QUICKLY
Step-by-step explanation:
so easy hahahahahah you are just a beginner
SOMEONE DO THIS QUICKLY! ITS DUE IN AN HOUR
Answer:
10. Y=151°
Z=29°
X=29°
11.
y: 61°
X: 151°
z:119°
12.
y:125°
x:55°
z:55°
13.63°
14.115°
15.131°
16.X=13°
17.X=4°
18.X=21°
19= X=7°
20= X=12°
21= X=9
The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?
Answer:
8
Step-by-step explanation:
x(x+6)/2=56
x^2(6x)=112
x^2(6x)-112=0
By trial and error, we can try base =1, height = 7, etc
base =8
height = 14
A farmer plants the same amount every day, adding up to 212 acres at the end of the year. If the year is 23 over, how many acres has the farmer planted?
Answer:
4876 acres
Step-by-step explanation:
212 x 23 = 4876
En una carrera participaron 7000 personas entre hombres y mujeres y 5000 personas entre mujeres y niños. Si han corrido 3000 mujeres ¿cuantas mujeres participaron en total?
Answer:
9000 personas en total participaron de la carrera.
Step-by-step explanation:
En este caso, planteo las siguientes variables:
x: cantidad de hombres que participaron de la carrera.y: cantidad de niños que participaron de la carrera.En una carrera participaron 7000 personas entre hombres y mujeres. Si han corrido 3000 mujeres, entonces se puede interpretar mediante la siguiente expresión:
3000 + x= 7000
Entonces, resolviendo se obtiene que participaron la siguiente cantidad de hombres:
x= 7000 - 3000
x= 4000
En la carrera también participaron 5000 personas entre mujeres y niños. Entonces se puede interpretar mediante la siguiente expresión:
3000 + y= 5000
Resolviendo se obtiene que participaron la siguiente cantidad de niños:
y= 5000 - 3000
y= 2000
Para calcular la cantidad de personas en total que participaron de la carrera, debes sumar la cantidad de hombres, mujeres y niños. Esto es:
4000 hombres + 3000 mujeres + 2000 niños= 9000 participantes
9000 personas en total participaron de la carrera.
Helpppp I need this for rn thank youuuuu❤️
Answer:
-1,7
0,-3
1,-7
5,47
Step-by-step explanation:
-x-=+
Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks
Submit
Answer:
Weeks thats easy man
Step-by-step explanation:
Ragon, who lives on this planet, does a survey and finds that her colony of 237 contains 45 black-footed, one-headed Mizjigs; 69 red-footed, two-headed Mizjigs; and 115 one-headed Mizjigs.
How many black footed Mizjigs are there in Ragon's colony?
The answer is A. 98.
Because when you subtract 115 - 45 it equals 70 then you add 70 + 69 which equals 139 then you subtract 237 - 139 it equals 98 which is your answer!
Hope this helps!which question can be answered using the expression 1/3 didvied by 3/4
Answer:
1/3 divided by 3/4 = 0.44
Step-by-step explanation:
1/3 (0.33) divide by 3/4 (0.75) = 0.44
what is the answer to the equation “what is 3 time 5”
Answer:
15
Step-by-step explanation:
When you multiply 3 to 5 you get 15 it is basic math. Or you can count out 5 plus 5 plus 5 if you need too.
What is the value of 4^3
Answer:
the answer is 64
Step-by-step explanation:
becasue 4 time 4 is 16 and 16 times 4 is 64. You have to multiply 4 against itself 3 times.
Answer:
64
Step-by-step explanation:
4³ = 4 · 4 · 4 = 64
8x-10=x^2+5 solve using quadratic
Answer:
x=5,3
Step-by-step explanation:
Laura bought some tacos for her and her friend to split. She paid a total of $7.08 for 12 tacos. What was the cost of each taco
Answer:
its 0.59
Step-by-step explanation:
Because if you divide 7.08 and 12 then you get the answer.
1. Whats the exact value of Y?
2. Whats the exact value of X?
Answer:
Hello! The answer is in this link.
Step-by-step explanation:
8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!
A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Karen chooses a marble at random, and without putting it back, chooses one at random. What is the probability that the first marble is blue and the second is green? Write your answer as a fraction in simplest form.
Please help me out with this I don’t understand it
Answer:
x = 7.55
Step-by-step explanation:
a = x
b = 8
c = 11
a² + b² = c²
x² + 8² = 11²
x² + 64 = 121
x² = 121 - 64
x² = 57
[tex]\sqrt{x^2} =\sqrt{57}[/tex]
x = 7.5498
Rounded to hundredths:
7.55
I need help plz plspdlspslslsl 7.2 x 7.2 x 7.2 x 7.2 x 7.2 x 7.2
Answer:
Step-by-step explanation:
7.2^6
Answer:
[tex]7.2^{6}[/tex]
Step-by-step explanation:
The answer is [tex]7.2^{6}[/tex] because your multiplying 7.2 6 times.
Hope this helps!
What is the mood i need help
Answer:
5.
Step-by-step explanation:
The mode is the number that occurs the most in a data set.
Here, the number 5 appears the most.
Answer:
The answer is 5
Step-by-step explanation:
The mode is the value that appears most frequently in a data set.
Hope this helps! Have a nice day!
someone help me, will be giving brainliest, thanks. this is due today. just one question.
Answer:
8,-6
Step-by-step explanation:
x^2 -6x +8 = 0
(x-4)(x-2)
what are the measures of angle B and D
Answer:
n=10
Step-by-step explanation:
i need help on this pleaseee
Answer:
QUESTION:
I need help on this pleaseee...
ANSWER:
2 pairs of pants = $18
4 pairs of pants = $36
6 pairs of pants = $54
1 pair of pants = $6
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Answer:
2 pairs are 18
4 pairs are 36
6 pairs are 48
1 pair is 6
Step-by-step explanation:
